Hyperkähler geometry and Teichmüller space

Hyperkähler geometry and Teichmüller space

We consider the hyperkähler extension of Teichmüller space with the Weil-Petersson metric. We describe its recent construction as a hyperkähler quotient and examine the defining equations for the resulting moduli space. We examine relations between this moduli space and the quasi-Fuchsian deforma...

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Bibliographic Details
Main Author: Hodge, Thomas Wolf Stephen
Published: Imperial College London 2005
Subjects:
515.94
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.417386
id ndltd-bl.uk-oai-ethos.bl.uk-417386
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spelling ndltd-bl.uk-oai-ethos.bl.uk-4173862018-08-21T03:27:52ZHyperkähler geometry and Teichmüller spaceHodge, Thomas Wolf Stephen2005We consider the hyperkähler extension of Teichmüller space with the Weil-Petersson metric. We describe its recent construction as a hyperkähler quotient and examine the defining equations for the resulting moduli space. We examine relations between this moduli space and the quasi-Fuchsian deformation space of the surface, with particular attention to the connection with the canonical holomorphic symplectic structure. We also consider the connection with Taubes moduli space of hyperbolic germs and whether it is possible to extend the hyperkähler structure in any fashion.515.94Imperial College Londonhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.417386http://hdl.handle.net/10044/1/8115Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 515.94
spellingShingle 515.94
Hodge, Thomas Wolf Stephen
Hyperkähler geometry and Teichmüller space
description We consider the hyperkähler extension of Teichmüller space with the Weil-Petersson metric. We describe its recent construction as a hyperkähler quotient and examine the defining equations for the resulting moduli space. We examine relations between this moduli space and the quasi-Fuchsian deformation space of the surface, with particular attention to the connection with the canonical holomorphic symplectic structure. We also consider the connection with Taubes moduli space of hyperbolic germs and whether it is possible to extend the hyperkähler structure in any fashion.
author Hodge, Thomas Wolf Stephen
author_facet Hodge, Thomas Wolf Stephen
author_sort Hodge, Thomas Wolf Stephen
title Hyperkähler geometry and Teichmüller space
title_short Hyperkähler geometry and Teichmüller space
title_full Hyperkähler geometry and Teichmüller space
title_fullStr Hyperkähler geometry and Teichmüller space
title_full_unstemmed Hyperkähler geometry and Teichmüller space
title_sort hyperkähler geometry and teichmüller space
publisher Imperial College London
publishDate 2005
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.417386
work_keys_str_mv AT hodgethomaswolfstephen hyperkahlergeometryandteichmullerspace
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